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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 152 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.What is the mode of 11, 11, 3, 11, 1, 1 and 14? (a) 1 (b) 11 (c) 14 (d) 3
  2. 2.What is the mode of 13, 8, 2, 3, 13, 3 and 13? (a) 13 (b) 2 (c) 8 (d) 3
  3. 3.The mean of 8 numbers is 10. When the number 46 is added to them, what is the new mean? (a) 15 (b) 14 (c) 10 (d) 28
  4. 4.What is the mean of 17, 5, 8, 14 and 11? (a) 11 (b) 12 (c) 10 (d) 13
  5. 5.What is the mean of 20, 2, 3, 4, 6 and 19? (a) 10 (b) 8 (c) 9 (d) 11
  6. 6.What is the mean of 9, 7, 15, 18 and 16? (a) 12 (b) 15 (c) 13 (d) 14
  7. 7.What is the mean of 4, 2, 17, 11, 10 and 16? (a) 10 (b) 11 (c) 12 (d) 9
  8. 8.What is the median of 3, 5, 24, 20 and 36? (a) 20 (b) 24 (c) 5 (d) 21
  9. 9.What is the median of 36, 25, 28, 37, 22, 1 and 15? (a) 22 (b) 28 (c) 25 (d) 37
  10. 10.What is the mean of 2, 12, 2, 10, 4 and 12? (a) 9 (b) 8 (c) 6 (d) 7
  11. 11.What is the mean of 16, 4, 20, 14, 10 and 2? (a) 13 (b) 11 (c) 12 (d) 10
  12. 12.What is the mode of 20, 9, 20, 20, 13, 19 and 9? (a) 19 (b) 13 (c) 20 (d) 9
  13. 13.What is the median of 19, 21, 27, 14, 35, 37 and 9? (a) 14 (b) 21 (c) 19 (d) 27
  14. 14.What is the mode of 10, 17, 4, 2, 17, 17 and 10? (a) 2 (b) 4 (c) 17 (d) 10
  15. 15.What is the median of 35, 6, 28, 9, 29, 12 and 8? (a) 9 (b) 13 (c) 28 (d) 12
  16. 16.What is the median of 1, 2, 17, 13, 33, 12 and 25? (a) 17 (b) 14 (c) 13 (d) 12
  17. 17.What is the median of 25, 19, 12, 3 and 31? (a) 25 (b) 12 (c) 18 (d) 19
  18. 18.What is the mean of 10, 4, 9, 6, 4 and 9? (a) 6 (b) 7 (c) 8 (d) 9
  19. 19.What is the median of 2, 15, 37, 32, 23, 27 and 30? (a) 23 (b) 30 (c) 32 (d) 27
  20. 20.What is the mean of 12, 14, 18 and 16? (a) 16 (b) 12 (c) 15 (d) 20
  21. 21.What is the median of 8, 35, 19, 12 and 5? (a) 12 (b) 8 (c) 13 (d) 19
  22. 22.What is the median of 9, 1, 27, 2 and 26? (a) 26 (b) 13 (c) 9 (d) 27
  23. 23.What is the median of 14, 22, 25, 35, 7, 24 and 30? (a) 24 (b) 22 (c) 25 (d) 35
  24. 24.What is the median of 25, 14, 10, 34, 18, 3 and 7? (a) 18 (b) 10 (c) 14 (d) 34
  25. 25.What is the median of 15, 26, 24, 5 and 36? (a) 26 (b) 24 (c) 15 (d) 25
  26. 26.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 20 (b) 25 (c) 30 (d) 24
  27. 27.The mean of 7 numbers is 40. When the number 72 is added to them, what is the new mean? (a) 40 (b) 56 (c) 45 (d) 44
  28. 28.What is the mean of 2, 5, 3 and 10? (a) 6 (b) 7 (c) 4 (d) 5
  29. 29.What is the median of 26, 40, 20, 35, 19, 39 and 37? (a) 35 (b) 37 (c) 36 (d) 26
  30. 30.What is the mean of 2, 3, 11 and 16? (a) 9 (b) 10 (c) 7 (d) 8
  31. 31.What is the mode of 1, 19, 8, 19, 16, 1 and 1? (a) 1 (b) 19 (c) 16 (d) 8
  32. 32.The mean of 4 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 34 (b) 44 (c) 39 (d) 38
  33. 33.What is the median of 3, 32, 7, 36, 5, 17 and 13? (a) 17 (b) 7 (c) 36 (d) 13
  34. 34.The mean of 3 numbers is 34. When the number 18 is added to them, what is the new mean? (a) 26 (b) 30 (c) 31 (d) 34
  35. 35.What is the mean of 14, 5, 20, 17, 19 and 21? (a) 18 (b) 16 (c) 17 (d) 15
  36. 36.What is the median of 4, 31, 25, 1, 6, 37 and 24? (a) 25 (b) 24 (c) 1 (d) 6
  37. 37.The mean of 8 numbers is 30. When the number 57 is added to them, what is the new mean? (a) 32 (b) 34 (c) 33 (d) 30
  38. 38.What is the mean of 3, 15, 17, 18, 13 and 18? (a) 12 (b) 15 (c) 13 (d) 14
  39. 39.What is the median of 17, 26, 9, 36 and 6? (a) 17 (b) 26 (c) 18 (d) 9
  40. 40.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 9 (b) 10 (c) 12 (d) 11

Answer key

  1. 11
  2. 13
  3. 14
  4. 11
  5. 9
  6. 13
  7. 10
  8. 20
  9. 25
  10. 7
  11. 11
  12. 20
  13. 21
  14. 17
  15. 12
  16. 13
  17. 19
  18. 7
  19. 27
  20. 15
  21. 12
  22. 9
  23. 24
  24. 14
  25. 24
  26. 24
  27. 44
  28. 5
  29. 35
  30. 8
  31. 1
  32. 38
  33. 13
  34. 30
  35. 16
  36. 24
  37. 33
  38. 14
  39. 17
  40. 10

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